101433552 has 80 divisors (see below), whose sum is σ = 300933120. Its totient is φ = 29116800.

The previous prime is 101433529. The next prime is 101433569. The reversal of 101433552 is 255334101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4977 + ... + 15087.

It is an arithmetic number, because the mean of its divisors is an integer number (3761664).

Almost surely, 2^101433552 is an apocalyptic number.

101433552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150466560).

101433552 is an abundant number, since it is smaller than the sum of its proper divisors (199499568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101433552 is a wasteful number, since it uses less digits than its factorization.

101433552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 101433552 is about 10071.4225410316. The cubic root of 101433552 is about 466.3663546287.

Adding to 101433552 its reverse (255334101), we get a palindrome (356767653).

It can be divided in two parts, 10143 and 3552, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 101433552 in words is "one hundred one million, four hundred thirty-three thousand, five hundred fifty-two".